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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quotients of mapping class groups from $\operatorname {Out}(F_n)$
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by Khalid Bou-Rabee and Christopher J. Leininger PDF
Proc. Amer. Math. Soc. 146 (2018), 5091-5096 Request permission

Abstract:

We give a short proof of Masbaum and Reid’s result that mapping class groups involve any finite group, appealing to free quotients of surface groups and a result of Gilman, following Dunfield–Thurston.
References
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Additional Information
  • Khalid Bou-Rabee
  • Affiliation: Department of Mathematics, City College of New York, CUNY, New York, New York 10031
  • MR Author ID: 888620
  • Email: khalid.math@gmail.com
  • Christopher J. Leininger
  • Affiliation: Department of Mathematics, University of Illinois Urbana-Champaign, Urbana, Illinois 61801
  • MR Author ID: 688414
  • Email: c.j.leininger95@gmail.com
  • Received by editor(s): December 5, 2017
  • Received by editor(s) in revised form: March 27, 2018
  • Published electronically: September 17, 2018
  • Additional Notes: The first author was supported in part by NSF grant DMS-1405609
    The second author was supported in part by NSF grant DMS-1510034.
  • Communicated by: David Futer
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 5091-5096
  • MSC (2010): Primary 20E26, 20F65
  • DOI: https://doi.org/10.1090/proc/14210
  • MathSciNet review: 3866848